Step-by-step explanation:
the given traingle is a isosoles triangle.
in a isosles traingle base angles are equal.
(8x-23)+(8x-23)+34=180(sum of <s of triangle)
or,8x-23+8x-23+34=180
or,16x-46+34=180
or,16x-12=180
or,16x=180+12
or,16x=192
or,x=192/16
Therefore, x=12
Answer:
1/6
Step-by-step explanation:
Probability is a chance of an event taking place.
Probability = (favorable outcome)/(total outcome)
There are 3 even sides in a dice.
P(even) = 3/6 = 1/2
There are 2 numbers that are greater than 4 in a dice.
P(x>4) = 2/6 = 1/3
P(even and x>4) = 1/2 × 1/3 = 1/6
Answer:
x = 5
y = 4
Step-by-step explanation:
1. 2x + 2y = 18
2. x + 3y = 17
Multiply the first equation by 1 and the second equation by 2 to eliminate x
We have
2x + 2y = 18
2x + 6y = 34
Subtract equation 2 from equation 1
-4y = -16
Divide both sides by -4 to isolate y
-4y/-4 = -16/-4
y = 4
Now substitute 4 for y in either equation to get x. Using equation 2 we have
x + 3y = 17
x + 3 x 4 = 17
x + 12 = 17
Subtract 12 from both sides
x + 12 - 12 = 17 - 12
x = 5
x = 5 and
y = 4
Step-by-step explanation:
Commutative property of multiplication: Changing the order of factors does not change the product. For example, 4 \times 3 = 3 \times 44×3=3×44, times, 3, equals, 3, times, 4.
Associative property of multiplication: Changing the grouping of factors does not change the product. For example, (2 \times 3) \times 4 = 2 \times (3 \times 4)(2×3)×4=2×(3×4)left parenthesis, 2, times, 3, right parenthesis, times, 4, equals, 2, times, left parenthesis, 3, times, 4, right parenthesis.
Identity property of multiplication: The product of 111 and any number is that number. For example, 7 \times 1 = 77×1=77, times, 1, equals, 7.
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